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Discontinuous Deformation Analysis Based on Wachspress Interpolation Function for Detailed Stress Distribution
Joint Authors
Wang, Yanhai
Sun, Guanhua
Jiang, W.
Song, P. C.
Mao, C.
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-06-26
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
In the original discontinuous deformation analysis (DDA) method, the complete first-order displacement function is used to describe block movement and deformation, which induce constant stress and strain throughout the block.
To achieve a more detailed stress distribution, Wachspress interpolation displacement function is employed to express the displacement of blocks in DDA, and the interactions between blocks are still governed under the original DDA.
Displacements of the vertexes of all blocks constitute new freedom vectors, and the stiffness and force matrix formulations are derived again.
In the new formulation, Wachspress interpolation ensures that the edges of the blocks are straight; therefore, contact detection can be processed based on the original DDA.
Several classical examples are analyzed.
The results show that the new formulation obtains similar configurations as the original DDA but provides more detailed and continuous stress distributions within block element.
American Psychological Association (APA)
Jiang, W.& Wang, Yanhai& Sun, Guanhua& Song, P. C.& Mao, C.. 2018. Discontinuous Deformation Analysis Based on Wachspress Interpolation Function for Detailed Stress Distribution. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-18.
https://search.emarefa.net/detail/BIM-1207286
Modern Language Association (MLA)
Jiang, W.…[et al.]. Discontinuous Deformation Analysis Based on Wachspress Interpolation Function for Detailed Stress Distribution. Mathematical Problems in Engineering No. 2018 (2018), pp.1-18.
https://search.emarefa.net/detail/BIM-1207286
American Medical Association (AMA)
Jiang, W.& Wang, Yanhai& Sun, Guanhua& Song, P. C.& Mao, C.. Discontinuous Deformation Analysis Based on Wachspress Interpolation Function for Detailed Stress Distribution. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-18.
https://search.emarefa.net/detail/BIM-1207286
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1207286